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arXiv:2301.10138 · The European Physical Journal B

Orbital antiferroelectricity and higher dimensional magnetoelectric order in the spin-1/2 XX chain extended with three-spin interactions

Pradeep K. Thakur, P. Durganandini

Published May 1, 2023• 3 citations
arXivHTMLPDF
DOI
10.1140/epjb/s10051-023-00522-1

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A magnetoelectric effect according to Katsura-Nagaosa-Balatsky mechanism in spin-1/2 XY chain in transverse magnetic field is considered. A spatial orientation of the electric field is chosen to provide an exact solution of the model in terms of free spinless fermions. The simplest model of quantum spin chain demonstrating a magnetoelectric effect, a zero temperature case of the spin-1/2 XX chain in a transverse magnetic field with Katsura-Nagaosa-Balatsky mechanism, is considered. The model has the simplest possible form of the magnetization, polarization and susceptibility functions, depending on electric and magnetic fields in a most simple form. For the case of arbitrary XY anisotropy, a non-monotonous dependence of magnetization on the XY anisotropy parameter is figured out. This non-uniform behaviour is governed by the critical point which is connected with the possibility to drive the system gapless or gapped by the electric field. Singularities of the magnetoelectric susceptibility at the critical value of system parameters are shown.
The emptiness formation probability (EFP) that the first n spins of the chain are all aligned downwards is studied for the one-dimensional spin-1 2 XX chain system with both critical and non-critical regimes with three spin and uniform long-range interactions.By using the emptiness formation probability P (n), the block-block entanglement Sn and the magnetization M z , the properties of the system are also studied.It is worthy of note that when the quantum phase transition from the phase III to the phase II occurs, the Emptiness Formation Probability P (n) of the system decreases, but the block-block entanglement Sn increases.